Robust H∞ control for uncertain continuous-time singular systems with circular pole constraints

• Main Authors: Meng Lingqi, Ge Zhaoqiang
• Format: Conference Proceeding
• Language: English
• Subjects: Circular Pole constraints; Closed loop systems; Linear matrix inequalities; Quadratic d Stablizability with an H ∞ Norm-bound; robust H ∞ control; Robustness; State feedback; Symmetric matrices; Uncertain Continuous-time Singular System; Uncertain systems; Uncertainty
• ISSN: 1948-9439; 1948-9447
• DOI: 10.1109/CCDC.2014.6852189

This paper focuses on the problem of the robust H ∞ control with circular pole constraints in uncertain singular systems. Firstly, the concept of quadratic d stablizability with an H ∞ norm-bound is introduced for the uncertain continuous-time singular system. Secondly, the robust H ∞ control problem is solved in the uncertain continuous-time singular systems, on the basis of circular pole constraints. At last, on the notion of quadratic d stablizability with an H ∞ norm-bound, we gain the state feedback controllers for uncertain singular systems such that the closed-loop singular systems are regular and impulse-free, and the closed-loop poles are located within a preassigned circular region, and the H ∞ norm-bound of the closed-loop transfer function matrix is strictly less than a given positive constant for all admissible uncertainties.